What is the lim x². In(x) x-0+

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

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Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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Q: Q1: Find the general solution of the following first order D.Es a) (xy² + x)dbe+(a + y)dy =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

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Q: curva corresponde á función f(x) = 3sinx-x ea recta a y = (Calcula previamente os puntos de corte de…

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Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)

Q: √√√x if x1

A: Explanation of the answer is as follows

Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

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Q: 3. Graph and then find the area of the region bounded by the curves y = 8x - x² and y=2x−7.

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Q: what is Newton's method A. used for? B. Use Newton's method (3 iterations) to estimate the solutions…

A: Solution: A.) The Newton-Raphson method is one of the most widely used methods for root finding.

Q: An ice cube is freezing in such a way that the side length s, in inches, is s(t)=t+6, where tis in…

A: Write down the equation of the volume.

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: 5. y=(x+2)e+²+1 6. y= 3* -9 Inx-2 7. y= 1 12 (ex + 1)²

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Q: Solve the given initial-value problem. x(x + 1) dy + xy = 1, y(e) = 1 dx y(x) = Give the largest…

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Q: f(x) = 5x + 2

A: Given.

Q: Prove the identity sin(-0)- cos (+0)

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Q: (1) IF: a 21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find a.b, a.c, č.ā (a+b).(a-b),(ã+c).(ā-) (ã+2b-3c). (ā-…

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Q: Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous…

A: Given: f(x)=x+1     if x≤11/x     if 1<x<2x−2     if x≥2 To find the where f(x) is not…

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: 6. Derive the reduction formula for f q²dq (a²+q²)m

A: Using substitution find the reduction in trigonometry function

Q: 5. find the derivative 2x (7) + 6x (7) - 2x (²) + 210 Enter your answer

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Q: Answer the questions below about the quadratic function. g(x)= -3x2 -12x -13 Does the function…

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: af 2 Given f(x, y, z)=x√√x² - yz. Determine дz' af xy Əz 2√x²-yz af s af əz af Əz = = = 2√x²-yz…

A: A detailed solution is given below

Q: Evaluate the integral.   The integral from 0 to t of 9/(sqrt of 1-x^2) dx   Then determine whether…

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Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: (x + 1) dy = −y + 20 dx O separable exact linear in x linear in y O homogeneous Bernoulli in x…

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Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7 choose the right answer

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Q: The percentages of police officers who are women are listed in the table for various city…

A: Solution: a. We use Desmos to graph the data points given, plotting the city population n along the…

Q: Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

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Q: (b) Find the intervals of increase or decrease of ƒ.

A: Solve the following

Q: 9. 5²-2 dz 10. fdx

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Q: A rectangular box is to contain 125 in3. Find the dimensions of the box for which the surface area…

A: Given problem:- A rectangular box is to contain 125 in3 Find the dimensions of the box for which the…

Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

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Q: 2|6x + 4 ≥ 1 OX-7/12 - 7/12 - 12/7 choose the right answer

A: we have 26x+4≥1

Q: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

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Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

A: Differentiation with steps need to be done.

Q: On the graph of the function f(x), shown below in blue, choose whether there are zero, one, or two…

A: Horizontal asymptote

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

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Q: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: Q2: Find the following limits 1-√x²+1 1. lim X-0

A: Given, limx→ 01-x2+1x2

Q: Consider the following graph of a function f(x) 7 A. For what value(s) x is f discontinuous? If f is…

A: As per our guidelines, I can answer maximum three sub parts of a question. Since there are multiple…

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Solve the differential equation. 1. (x-2y) dx + 2 (y-x) dy = 0

A: Given :(x-2y)dx + 2(y-x)dy=0

Q: If the graph of f has a horizontal tangent line at x = c and f" (c) is negative, which of the…

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: We know that maximum area of rectangle in any circle is square.

Q: 1. S w²dw √2w-w²

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Q: Evaluate the fsinz integrais belovo sin² xcsc 2x dx

A: Evaluate the integral

Q: Solve the differential equation d²y dx² - 7+12y = 12x² + 7x + 13.

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